We need to find the perimeter of the given T-shaped figure. The lengths of some sides are given: 27 cm, 18 cm, 27 cm, and 16 cm. We need to determine the lengths of the missing sides and then sum all the sides to find the perimeter.

1. Problem Description

We need to find the perimeter of the given T-shaped figure. The lengths of some sides are given: 27 cm, 18 cm, 27 cm, and 16 cm. We need to determine the lengths of the missing sides and then sum all the sides to find the perimeter.

2. Solution Steps

First, let's identify the missing lengths.

The width of the top rectangle is given as 27 cm. The width of the bottom rectangle is given as 16 cm. Therefore, the length of the two small horizontal lines on either side of the T-shape are equal to $(27-16)/2 = 11/2 = 5.5$ cm each.

The perimeter is the sum of the lengths of all the sides of the figure. Starting from the top and going clockwise:

1. Top length: 27 cm

2. Right side of top rectangle: 18 cm

3. Right horizontal length on the right side of the "T": 5.5 cm

4. Right side of bottom rectangle: 27 cm

5. Bottom length: 16 cm

6. Left side of bottom rectangle: 27 cm

7. Left horizontal length on the left side of the "T": 5.5 cm

8. Left side of top rectangle: 18 cm

Perimeter $= 27 + 18 + 5.5 + 27 + 16 + 27 + 5.5 + 18$

Perimeter $= 27 + 18 + 5.5 + 27 + 16 + 27 + 5.5 + 18 = 144$ cm

3. Final Answer

The perimeter of the figure is 144 cm.